The city Qthaca is of a square size with edge length 100. The Ping...

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The city Qthaca is of a square size with edge length 100. The Pinger Lake lies in the southwest corner of the city, and the shoreline of the lake is modeled by the function y = 3.c - x2. A schematic of the city and lake are depicted below. Due to the seasonal flooding, the local people would like to build a levee. Due to construction constraints, the levee must be built along a straight line within the town from point A to point B. The line AB is designed to be tangent to the lake, for financial reasons. After the levee is constructed, the triangle ^AOB is the potential flooding area. Where should Qthaca build the levee in order to minize the potential flooding area? y Qthaca B Pinger Lake x A y=3x-x2

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